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Finding the Fourth Proportional to 29,401.52, 40,577.64 and 16,826

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Solution

The fourth proportional to 29,401.52, 40,577.64 and 16,826 is: 23,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,401.52 : 40,577.64 = 16,826 : x
  2. Step 2: Convert to fraction form
    29,401.52/40,577.64 = 16,826/x
  3. Step 3: Cross multiply
    29,401.52x = 40,577.64 × 16,826
  4. Step 4: Simplify right side
    29,401.52x = 682,759,370.64
  5. Step 5: Solve for x
    x = 682,759,370.64/29,401.52
  6. Step 6: Final answer
    x = 23,221.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.